If you are looking for a portable pocket sized smartphone projector, a
new creation from Sanwa Direct might be worth more investigation.
The 400-PRJ018 mini Smartphone projector by Sanwa Direct is battery
powered and capable of projecting an image of 854×480 pixel resolution,
with manual focus, offering a 16:9 aspect ratio at 85 Lumen of
brightness.

The smartphone project can be connected to Apple’s iPhone via the
Apple USB adapter and smartphones, and is fitted with a USB port and a
3,800 mAh rechargeable battery that provides around 1.5 hours of use on a
single charge. Allowing the smartphone projector to be complete
portable and perfect for quick presentation with the minimum amount of
baggage to carry.
The smartphone projector is available in either black and white and is priced at around 42,800 yen or $465 in Japan.